Perform hand calculations with the use of calculators for the following problems. Do not use Excel or Matlab.
1. The data for fuel efficiency of a diesel engine in a combustion test is as follows:
Set 1: 77.2, 73.4, 77.5, 82.1, 81.6, 77.2, 78.4
Set 2: 76.1, 72.5, 71.3, 80.6, 81.1, 74.2, 74.1
What is the range of the true (or population) mean of each data set for an 80% confidence level? (10 pts)
b. Calculate the standard normal distribution z and P(z) for data set #1. Identify any outlier data for an 80% confidence level. (10 pts) Use Chauvenet criterion to identify any outliers for data set #1. (pts)